{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Atmospheric Attenuation\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 2.9.1, dlectromagnetic waves are attenuated in the atmosphere primarily due to oxygen ($O_{2}$) and water vapor ($H_{2}O$). The first peak in attenuation occurs at approximately $22$ GHz and is due to water vapor. The second peak is located at $63$ GHz due to oxygen.  For frequencies up to $1$ THz, the attenuation due to dry air and water vapor is most accurately evaluated by means of a summation of the individual resonance lines from oxygen and water vapor.  Additional factors are added to this result to account for the non-resonant Debye spectrum of oxygen, pressure-induced nitrogen attenuation, and excess water vapor absorption.  The specific atmospheric attenuation is written as (Equation 2.151)\n",
    "\n",
    "$$\n",
    "A_s = A_o + A_w = 0.1820\\, f\\, \\big(N_o(f) + N_w(f) \\big) \\hspace{0.5in} \\text{(dB/km)}\n",
    "$$\n",
    "\n",
    "The terms $N_o(f)$ and $N_w(f)$ are the imaginary parts of the complex refractivity and are expressed as (Equation 2.152)\n",
    "\n",
    "$$\n",
    "N_o(f) = \\sum_i S_i^o\\,F_i^o + N_d(f), \\hspace{0.2in} N_w(f) = \\sum_i S_i^w\\,F_i^w\n",
    "$$\n",
    "\n",
    "For terrestrial paths, the total path attenuation is then found from (Equation 2.153)\n",
    "\n",
    "$$\n",
    "A = A_s \\, r = (A_o + A_w)\\,r \\hspace{0.5in} \\text{(dB)}\n",
    "$$\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the start and end frequencies (Hz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency_start = 1\n",
    "\n",
    "frequency_end = 1e3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the frequency array using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "frequency = linspace(frequency_start, frequency_end, 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the temperature (K), the dry air pressure (hPa), and the water vapor density (g/m^3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "temperature = 290\n",
    "\n",
    "dry_air_pressure = 1013.25\n",
    "\n",
    "water_vapor_density = 7.5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the keyword args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'frequency': frequency,\n",
    "\n",
    "          'temperature': temperature,\n",
    "\n",
    "          'dry_air_pressure': dry_air_pressure,\n",
    "\n",
    "          'water_vapor_density': water_vapor_density}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the attenuation using the `attenuation` routine from `atmosphere`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.wave_propagation import atmosphere\n",
    "\n",
    "gamma = atmosphere.attenuation(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the routines from `matplotlib` to display the atmospheric attenuation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xda1cc30>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.semilogy(frequency, gamma)\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Atmospheric Attenuation', size=14)\n",
    "\n",
    "plt.xlabel('Frequency (GHz)', size=12)\n",
    "\n",
    "plt.ylabel('Specific Attenuation (dB/km)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
